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Stability of delayed pathogen dynamics models with latency and two routes of infection

机译:具有潜伏期和两种感染途径的延迟病原体动力学模型的稳定性

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We consider a pathogen dynamics model with antibodies and both pathogen-to-susceptible and infected-to-susceptible transmissions. We consider two types of infected cells, latently infected cells, and actively infected cells. The model considers three types of discrete or distributed delays to characterize the time between the pathogen or the infected cell contacts a susceptible cell and the creation of mature pathogens. We deduct the basic reproduction number and antibody response activation number which determine the existence and stability of the steady states. The global stability analysis of the steady states is established using Lyapunov method. The theoretical results are confirmed by numerical simulations.
机译:我们考虑带有抗体以及病原体易感性和感染性易感性传播的病原体动力学模型。我们考虑两种类型的感染细胞,即潜伏感染细胞和主动感染细胞。该模型考虑了三种类型的离散或分布式延迟,以表征病原体或被感染细胞接触易感细胞与成熟病原体产生之间的时间。我们减去基本的繁殖数和抗体应答激活数,它们决定了稳态的存在和稳定性。利用李雅普诺夫方法建立了稳态的全局稳定性分析。理论结果通过数值模拟得到了证实。

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